No it's spun off of that because the comment that yog brought Olivia into it makes sense because it's a direct connection to what dragon Paradox saidThis started with asking if we could teach wizards prayer eating, and treats being connected to divinity as a cheap technicality so yes I'll stand by that statement.
Which very explicitly makes complete sense because Olivia is by definition is a little bit god. The only actual god- blooded we know. Denying her ancestry as someone of divine blood it is like saying Odysseus is not of Divine blood despite being Hermes' grandson simply because he does not display any internally or externally supernatural abilities. Which Olivia definitively has over Odysseus and as well as Theseus, Perseus and Achilles for that matter because she very explicitly had greater magic before the intervention of her ancestor.
What type of character there's no such thing as a god-blooded character. In exalted there just Mortals with a mutation in world of Darkness being a god-blooded character is just a background. Whether you're playing a mage or sorcerer your blood would be a background do you possess rather than something that decides what type of character you are.She's a minor talents and not a godblood, she doesn't have enough juice to qualify as that type of character. Her ancestor intervening out of some sense of connection says more about their nature than hers.
By this metric Achilles doesn't count as a god-blooded character because he would be considered just a mortal character who has backgrounds for his greater than human stats and his invincibility which is granted via either the River Stix or the Fires of Olympus depending on which myth you're going with.
Which I I could quote the very specific Merits he would have but you would still model him as a mortal character because yet again Divinity doesn't make a character type unless you were playing a spirit.